From 2db90bfe4b174570424c408f04000902411d8755 Mon Sep 17 00:00:00 2001
From: Joshua Baer <the.baer.joshua@gmail.ch>
Date: Mon, 12 Apr 2021 21:51:55 +0200
Subject: update to current state of book

---
 buch/chapters/60-gruppen/images/phasenraum.tex | 186 ++++++++++++-------------
 1 file changed, 93 insertions(+), 93 deletions(-)

(limited to 'buch/chapters/60-gruppen/images/phasenraum.tex')

diff --git a/buch/chapters/60-gruppen/images/phasenraum.tex b/buch/chapters/60-gruppen/images/phasenraum.tex
index 2bccc27..2305b26 100644
--- a/buch/chapters/60-gruppen/images/phasenraum.tex
+++ b/buch/chapters/60-gruppen/images/phasenraum.tex
@@ -1,93 +1,93 @@
-%
-% phasenraum.tex -- 
-%
-% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
-%
-\documentclass[tikz]{standalone}
-\usepackage{amsmath}
-\usepackage{times}
-\usepackage{txfonts}
-\usepackage{pgfplots}
-\usepackage{csvsimple}
-\usetikzlibrary{arrows,intersections,math}
-\begin{document}
-\def\skala{1}
-\begin{tikzpicture}[>=latex,thick,scale=\skala]
-
-\def\m{1}
-\def\K{0.444}
-
-\pgfmathparse{sqrt(\K/\m)}
-\xdef\o{\pgfmathresult}
-
-\def\punkt#1#2{ ({#2*cos(#1)},{\o*#2*sin(#1)}) }
-
-\foreach \r in {0.5,1,...,6}{
-	\draw plot[domain=0:359,samples=360]
-			({\r*cos(\x)},{\o*\r*sin(\x)}) -- cycle;
-}
-
-\def\tangente#1#2{
-		\pgfmathparse{#2/\m}
-		\xdef\u{\pgfmathresult}
-
-		\pgfmathparse{-#1*\K}
-		\xdef\v{\pgfmathresult}
-
-		\pgfmathparse{sqrt(\u*\u+\v*\v)}
-		\xdef\l{\pgfmathresult}
-
-		\fill[color=blue] (#1,#2) circle[radius=0.03];
-		\draw[color=blue,line width=0.5pt]
-			({#1-0.2*\u/\l},{#2-0.2*\v/\l})
-			--
-			({#1+0.2*\u/\l},{#2+0.2*\v/\l});
-}
-
-\foreach \x in {-6.25,-5.75,...,6.3}{
-	\foreach \y in {-4.25,-3.75,...,4.3}{
-		\tangente{\x}{\y}
-	}
-}
-
-%\foreach \x in {0.5,1,...,5.5,6}{
-%	\tangente{\x}{0}
-%	\tangente{-\x}{0}
-%	\foreach \y in {0.5,1,...,4}{
-%		\tangente{\x}{\y}
-%		\tangente{-\x}{\y}
-%		\tangente{\x}{-\y}
-%		\tangente{-\x}{-\y}
-%	}
-%}
-%\foreach \y in {0.5,1,...,4}{
-%	\tangente{0}{\y}
-%	\tangente{0}{-\y}
-%}
-
-\fill[color=white,opacity=0.7] \punkt{60}{4} rectangle \punkt{59}{5.8};
-\fill[color=white,opacity=0.7] \punkt{0}{4} rectangle \punkt{18}{4.9};
-
-\draw[->,color=red,line width=1.4pt]
-	plot[domain=0:60,samples=360]
-		({4*cos(\x)},{\o*4*sin(\x)});
-
-\draw[->] (-6.5,0) -- (6.7,0) coordinate[label={$x$}];
-\draw[->] (0,-4.5) -- (0,4.7) coordinate[label={right:$p$}];
-
-\fill[color=red] \punkt{60}{4} circle[radius=0.08];
-\node[color=red] at \punkt{60}{4} [above right]
-	{$\begin{pmatrix}x(t)\\p(t)\end{pmatrix}$};
-
-\fill[color=red] \punkt{0}{4} circle[radius=0.08];
-\node[color=red] at \punkt{0}{4} [above right]
-	{$\begin{pmatrix}x_0\\0\end{pmatrix}$};
-
-\fill[color=white] (4,0) circle[radius=0.05];
-\node at (3.9,0) [below right] {$x_0$};
-\fill (0,{\o*4}) circle[radius=0.05];
-\node at (0.1,{\o*4+0.05}) [below left] {$\omega x_0$};
-
-\end{tikzpicture}
-\end{document}
-
+%
+% phasenraum.tex -- 
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\def\skala{1}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\def\m{1}
+\def\K{0.444}
+
+\pgfmathparse{sqrt(\K/\m)}
+\xdef\o{\pgfmathresult}
+
+\def\punkt#1#2{ ({#2*cos(#1)},{\o*#2*sin(#1)}) }
+
+\foreach \r in {0.5,1,...,6}{
+	\draw plot[domain=0:359,samples=360]
+			({\r*cos(\x)},{\o*\r*sin(\x)}) -- cycle;
+}
+
+\def\tangente#1#2{
+		\pgfmathparse{#2/\m}
+		\xdef\u{\pgfmathresult}
+
+		\pgfmathparse{-#1*\K}
+		\xdef\v{\pgfmathresult}
+
+		\pgfmathparse{sqrt(\u*\u+\v*\v)}
+		\xdef\l{\pgfmathresult}
+
+		\fill[color=blue] (#1,#2) circle[radius=0.03];
+		\draw[color=blue,line width=0.5pt]
+			({#1-0.2*\u/\l},{#2-0.2*\v/\l})
+			--
+			({#1+0.2*\u/\l},{#2+0.2*\v/\l});
+}
+
+\foreach \x in {-6.25,-5.75,...,6.3}{
+	\foreach \y in {-4.25,-3.75,...,4.3}{
+		\tangente{\x}{\y}
+	}
+}
+
+%\foreach \x in {0.5,1,...,5.5,6}{
+%	\tangente{\x}{0}
+%	\tangente{-\x}{0}
+%	\foreach \y in {0.5,1,...,4}{
+%		\tangente{\x}{\y}
+%		\tangente{-\x}{\y}
+%		\tangente{\x}{-\y}
+%		\tangente{-\x}{-\y}
+%	}
+%}
+%\foreach \y in {0.5,1,...,4}{
+%	\tangente{0}{\y}
+%	\tangente{0}{-\y}
+%}
+
+\fill[color=white,opacity=0.7] \punkt{60}{4} rectangle \punkt{59}{5.8};
+\fill[color=white,opacity=0.7] \punkt{0}{4} rectangle \punkt{18}{4.9};
+
+\draw[->,color=red,line width=1.4pt]
+	plot[domain=0:60,samples=360]
+		({4*cos(\x)},{\o*4*sin(\x)});
+
+\draw[->] (-6.5,0) -- (6.7,0) coordinate[label={$x$}];
+\draw[->] (0,-4.5) -- (0,4.7) coordinate[label={right:$p$}];
+
+\fill[color=red] \punkt{60}{4} circle[radius=0.08];
+\node[color=red] at \punkt{60}{4} [above right]
+	{$\begin{pmatrix}x(t)\\p(t)\end{pmatrix}$};
+
+\fill[color=red] \punkt{0}{4} circle[radius=0.08];
+\node[color=red] at \punkt{0}{4} [above right]
+	{$\begin{pmatrix}x_0\\0\end{pmatrix}$};
+
+\fill[color=white] (4,0) circle[radius=0.05];
+\node at (3.9,0) [below right] {$x_0$};
+\fill (0,{\o*4}) circle[radius=0.05];
+\node at (0.1,{\o*4+0.05}) [below left] {$\omega x_0$};
+
+\end{tikzpicture}
+\end{document}
+
-- 
cgit v1.2.1

